Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Review Exercises - Page 189: 4

Answer

The functions that can have a y-value of $2$ are: tangent, cotangent, secant and cosecant.

Work Step by Step

RECALL: (1) The range of the sine and the cosine functions is $[-1, 1]$. (2) The range of the tangent and the cotangent function is $(-\infty, +\infty)$. (3) The range of the secant and the cosecant function is $(-\infty, -1] \cup [1, +\infty)$. Thus, the functions that can have a y-value of $2$ are: tangent, cotangent, secant and cosecant.
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